How do you simplify and write $2.897 \times 10^{3} + 2.09 \times 10^{4}$ $2.897times10^3 + 2.09times10^4$ in standard notation?

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Answer 1 · 2017-07-14T09:02:30

$2.3797 \times 10^{4}$ $2.3797xx10^4$

To add numbers in standard notation the powers of $10$ $10$ must be the same .

So one of the numbers is taken out of standard notation, then the numbers added. Then return to standard notation

$2.897 \times 10^{3} + 2.09 \times 10^{4}$ $2.897xx10^3+2.09xx10^4$

$= 2.897 \times 10^{3} + 2.09 \times 10^{3} \times 10$ $=2.897xx10^3+2.09xx10^3xx10$

$= 2.897 \times 10^{3} + 20.9 \times 10^{3}$ $=2.897xx10^3+20.9xx10^3$

$(2.897 + 20.9) \times 10^{3}$ $(2.897+20.9)xx10^3$

$23.797 \times 10^{3}$ $23.797xx10^3$

$2.3797 \times 10^{4}$ $2.3797xx10^4$

How do you simplify and write 2.897×103+2.09×1042.897times10^3 + 2.09times10^4 in standard notation?